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41298157152 = 25357758711
BaseRepresentation
bin100110011101100011…
…111101111001100000
310221121010202202100000
4212131203331321200
51134034312012102
630545550500000
72661256354350
oct463543757140
9127533682300
1041298157152
111657280779a
128006804600
133b81cc37a5
141ddab6cb60
15111a96101c
hex99d8fde60

41298157152 has 144 divisors (see below), whose sum is σ = 139190268672. Its totient is φ = 11799457920.

The previous prime is 41298157151. The next prime is 41298157163. The reversal of 41298157152 is 25175189214.

41298157152 is a `hidden beast` number, since 4 + 1 + 29 + 8 + 1 + 571 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×412981571523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 41298157098 and 41298157107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41298157151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324924 + ... + 433787.

It is an arithmetic number, because the mean of its divisors is an integer number (966599088).

Almost surely, 241298157152 is an apocalyptic number.

41298157152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41298157152 is an abundant number, since it is smaller than the sum of its proper divisors (97892111520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41298157152 is an equidigital number, since it uses as much as digits as its factorization.

41298157152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758743 (or 758723 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 41298157152 in words is "forty-one billion, two hundred ninety-eight million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 758711 1517422 2276133 3034844 4552266 5310977 6069688 6828399 9104532 10621954 12139376 13656798 15932931 18209064 20485197 21243908 24278752 27313596 31865862 36418128 40970394 42487816 47798793 54627192 61455591 63731724 72836256 81940788 84975632 95597586 109254384 122911182 127463448 143396379 163881576 169951264 184366773 191195172 218508768 245822364 254926896 286792758 327763152 368733546 382390344 430189137 491644728 509853792 573585516 655526304 737467092 764780688 860378274 983289456 1147171032 1290567411 1474934184 1529561376 1720756548 1966578912 2294342064 2581134822 2949868368 3441513096 4588684128 5162269644 5899736736 6883026192 10324539288 13766052384 20649078576 41298157152